Algebra Books that mix modern physics with algebra and geometry

AI Thread Summary
An advanced undergraduate physics student is seeking recommendations for books that explore the intersection of algebra, geometry, and modern physics, specifically focusing on mathematical aspects such as symmetry in physics, the theory of groups, the algebraic properties of the Poincaré group, and gauge transformations. Suggested resources include "Quantum Theory of Fields, vol. 1" by Steven Weinberg, which covers relevant topics in quantum field theory, and "Geometry, Topology, and Physics" by Mikio Nakahara, recommended for those with a strong mathematical background. Additional lecture notes on quantum field theory are also available for further study.
Laique94
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Hi
I'm an advanced undergraduate physics student and I'm currently searching books for my career project.
The topic I selected is titled: Algebra and geometry in modern physics.
So I'm currently looking for books that cover modern aspects of physics in a more mathematical approx.
In specific I'm looking for some mathematical books that discuss physics symmetry (theory of groups applied to symmetry, algebra properties of the Poincaré group or gauge transformations, and so on)
Everything that can be related is helpful.
Thanks
 
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